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Leona [35]
1 year ago
6

p+3w=-79-5p+w=-5Solve the system using the elimination method if there is no solution put no solution if there is infinite solut

ions put infinite
Mathematics
1 answer:
MaRussiya [10]1 year ago
5 0

p+3w=-79

-5p+w=-5

Multiply the second equation by 3 and then subtract the second equation:

p + 3w = -79

-

-15p + 3w = -15

_____________

16p = -64

p= -64/16

p= -4

Replace p on any equation and solve for w

-4 + 3w = -79

3w = -79 + 4

3w = -75

w= -75/3

w= -25

Solution:

p= -4

w= -25

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Sam rolled a die 75 times. On 39 of those rolls, he had a 6. Which statement is TRUE when the probabilities are compared?
svetlana [45]

Answer:

D)The experimental probability is greater than the theoretical probability

Step-by-step explanation:

Given:

75 times a die is rolled out of 39 times it got 6

To Find :

Which statement is true?

Solution:

The theoretical probability is given by the ,

Pt=No.of favorable outcomes/Total outcomes

Here favorable is getting 6 on the die

so how many times we can get 6 =1 time

Total outcomes =6

Pt=1/6

Pt=0.1667

Now for

The experimental Probability ,

Pe=Number times that event occur /Total no of trails

Here 39 times we get 6 and total no trails are 75

Pe=39/75

Pe=0.52

Hence we can say that Pe>Pt.

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3 years ago
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3 0
3 years ago
The arithmetic mean (average) of four numbers is 85. If the largest of these numbers is 97, find the mean of the remaining three
ser-zykov [4K]

Answer: 81

Step-by-step explanation:

Mean of four nos = 85

Score = 85 x 4 = 340

Deduct 97 from 340 = 243

Mean of three nos. 243/3 = 81

3 0
3 years ago
What is the area of the figure below?
Troyanec [42]

Answer:

The area of the figure is 7.5 m².

Step-by-step explanation:

Given the lengths of diagonals

  • 2.5 m
  • 6 m

The area of the given figure can be computed by multiply the lengths of the diagonals and then divide by 2.

so

Area = (2.5 × 6 ) ÷ 2

        = 15 ÷ 2

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3 0
3 years ago
Need help with these 3 questions (giving brainiest if you can answer with equations)
Tpy6a [65]

Problem 10

<h3>Answer: approximately 57.39159 km</h3>

Explanation: You'll use the equation cos(28) = d/65 to solve for d to get d = 65*cos(28) = 57.39159 approximately. We use the cosine ratio because it ties together the adjacent and hypotenuse.

=====================================

Problem 11

<h3>Answer: approximately 10.46162 meters </h3>

Explanation: This time we use the sine rule. We have the height as the opposite side (which is unknown, call it x) and the hypotenuse is the ladders length (11). So we have sin(72) = x/11 which solves to x = 11*sin(72) = 10.46162

=====================================

Problem 12

<h3>Answer: approximately 16.05724 cm</h3>

Explanation: Now we use the tangent rule to connect the opposite and adjacent sides.

tan(37) = 12.1/x

x*tan(37) = 12.1

x = 12.1/tan(37)

x = 16.05724 approximately

8 0
3 years ago
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